Simplify the expressions below. Write the final product in standard form and show your work to receive full credit.

1.2x^4 (4x^2 + 3x + 1)

2. (4x - 3) (2x^2 - 7x + 1)

3. (x2 + 4x - 3) (2x^2 + x + 6)

1.

1.2 x^4 (4 x² + 3 x + 1) = 4.8 x^6 + 3.6 x^5 + 1.2 x^4

2.

(4 x - 3) (2 x² - 7 x + 1) = 8 x³ - 28 x² + 4 x - 6 x² + 21 x - 3 =

= 8 x³ - 34 x² + 25 x - 3

3.

(x² + 4 x - 3) (2 x² + x + 6) =

= 2 x^4 + x³ + 6 x² + 8 x³ + 4 x² + 24 x - 6 x² - 3 x - 18 =

= 2 x^4 + 9 x³ + 4 x² + 21 x - 18